Engineering Mathematics [GATE (Graduate Aptitude Test in Engineering) Mechanical Engineering]: Questions 7 - 11 of 40

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Question 7

Engineering Mathematics
First Order and Higher Order Linear Differential Equations

Appeared in Year: 2015

Question

MCQ▾

Find the solution of which passes through the origin and the point

Choices

Choice (4)Response

a.

b.

c.

d.

Question 8

Engineering Mathematics
System of Linear Equations

Appeared in Year: 2015

Question

Numeric Answer▾

A precision instrument package needs to be mounted on a surface vibrating at . It is desired that only of the base surface vibration amplitude be transmitted to the instrument. Assume that the isolation is designed with its natural frequency significantly lesser than , so that the effect of damping may be ignored. The stiffness (in ) of the required mounting pad is

Question 9

Engineering Mathematics
Conditional Probability

Appeared in Year: 2015

Question

MCQ▾

The probability of obtaining at least two “SIX” in throwing a fair dice 4 times is

Choices

Choice (4)Response

a.

b.

c.

d.

Question 10

Engineering Mathematics
System of Linear Equations

Appeared in Year: 2015

Question

MCQ▾

Considering massless rigid rod and small oscillations, the natural frequency (in rad/s) of vibration of the system shown in the figure is

Massless Rigid Rod

Choices

Choice (4)Response

a.

b.

c.

d.

Question 11

Engineering Mathematics
System of Linear Equations
Edit

Appeared in Year: 2015

Question

Numeric Answer▾

A swimmer can swim 10 km in 2 hours when swimming along the flow of a river. While swimming against the flow, she takes 5 hours for the same distance. Her speed in still water (in km/h) is

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